Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian system… Mehr…
Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is looking for special solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<
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[EAN: 9783540573784], [SC: 9.0], [PU: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer], VARIATIONSPROBLEM ; SYMMETRIE KRITISCHER PUNKT MORSE-THEORIE, X, 152 pages : graph. Darst. Ex-Library book in good condition. 9783540573784 Sprache: Englisch Gewicht in Gramm: 550, Books<
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Springer, 1993. 158 pp., Paperback, ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country., Springer, 1993, 0<
*Topological Methods for Variational Problems with Symmetries* - Auflage 1993 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kart… Mehr…
*Topological Methods for Variational Problems with Symmetries* - Auflage 1993 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Geometrie, Springer Berlin Heidelberg<
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Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian system… Mehr…
Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is looking for special solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<
[EAN: 9783540573784], [SC: 9.0], [PU: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer], VARIATIONSPROBLEM ; SYMMETRIE KRITISCHER PUNK… Mehr…
[EAN: 9783540573784], [SC: 9.0], [PU: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer], VARIATIONSPROBLEM ; SYMMETRIE KRITISCHER PUNKT MORSE-THEORIE, X, 152 pages : graph. Darst. Ex-Library book in good condition. 9783540573784 Sprache: Englisch Gewicht in Gramm: 550, Books<
Springer, 1993. 158 pp., Paperback, ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once … Mehr…
Springer, 1993. 158 pp., Paperback, ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country., Springer, 1993, 0<
*Topological Methods for Variational Problems with Symmetries* - Auflage 1993 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kart… Mehr…
*Topological Methods for Variational Problems with Symmetries* - Auflage 1993 / Taschenbuch für 26.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Geometrie, Springer Berlin Heidelberg<
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Symmetry has a strong impact on the number and shape ofsolutions to variational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear wave equation; whenone is interested in elliptic equations on symmetric domainsor in the corresponding semiflows; and when one is lookingfor "special" solutions of these problems.This book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant functionals.These topological methods are developed in detail with newcalculations of the equivariant Lusternik-Schnirelmanncategory and versions of the Borsuk-Ulam theorem for verygeneral classes of symmetry groups. The Morse-Conley theoryis applied to bifurcation problems, in particular to thebifurcation of steady states and hetero-clinic orbits ofO(3)-symmetric flows; and to the existence of periodicsolutions nearequilibria of symmetric Hamiltonian systems.Some familiarity with the usualminimax theory and basicalgebraic topology is assumed.
Detailangaben zum Buch - Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author
EAN (ISBN-13): 9783540573784 ISBN (ISBN-10): 354057378X Gebundene Ausgabe Taschenbuch Erscheinungsjahr: 1993 Herausgeber: Springer Berlin Heidelberg Core >1 >T 168 Seiten Gewicht: 0,264 kg Sprache: eng/Englisch
Buch in der Datenbank seit 2007-05-16T02:24:46+02:00 (Vienna) Detailseite zuletzt geändert am 2024-03-07T12:39:30+01:00 (Vienna) ISBN/EAN: 354057378X
ISBN - alternative Schreibweisen: 3-540-57378-X, 978-3-540-57378-4 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: greiner, bärtsch, bartsch thomas, lusternik Titel des Buches: symmetries, variational methods, lecture notes mathematics
Daten vom Verlag:
Autor/in: Thomas Bartsch Titel: Lecture Notes in Mathematics; Topological Methods for Variational Problems with Symmetries Verlag: Springer; Springer Berlin 158 Seiten Erscheinungsjahr: 1993-11-29 Berlin; Heidelberg; DE Sprache: Englisch 26,70 € (DE) 27,45 € (AT) 36,07 CHF (CH) Available X, 158 p.
Category, genus and critical point theory with symmetries.- Category and genus of infinite-dimensional representation spheres.- The length of G-spaces.- The length of representation spheres.- The length and Conley index theory.- The exit-length.- Bifurcation for O(3)-equivariant problems.- Multiple periodic solutions near equilibria of symmetric Hamiltonian systems.
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